Trend-cycle decomposition: implications from an exact structural identification
Mardi Dungey (),
Jan Jacobs (),
Jing Tian () and
Simon van Norden ()
No 13-22, Working Papers from Federal Reserve Bank of Philadelphia
A well-documented property of the Beveridge-Nelson trend-cycle decomposition is the perfect negative correlation between trend and cycle innovations. We show how this may be consistent with a structural model where trend shocks enter the cycle, or cyclic shocks enter the trend and that identification restrictions are necessary to make this structural distinction. A reduced-form unrestricted version such as that of Morley, Nelson and Zivot (2003) is compatible with either option, but cannot distinguish which is relevant. We discuss economic interpretations and implications using US real GDP data.
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Working Paper: Trend-Cycle Decomposition: Implications from an Exact Structural Identification (2013)
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